Question

In a simultaneous throw of a pair of dice, find the probability of getting 2 will come up at least once.

Answer 1

Total Outcomes: When a pair of dice is thrown simultaneously, the sample space consists of: \[ S = {(1,1), (1,2), \dots, (6,6)} \]

\[ n(S) = 6 \times 6 = 36 \]

2 will come up at least once: Favourable outcomes: ({(1, 2), (2, 2), (3, 2), (4, 2), (5, 2), (6, 2), (2, 1), (2, 3), (2, 4), (2, 5), (2, 6)})

Number of favourable outcomes = 11

\[ P(2 \text{ at least once}) = \dfrac{11}{36} \]